Greatest Common Factor of 2835 and 2841

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 2835, 2841 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2835 and 2841 is 3.

GCF(2835,2841) = 3

GCF of 2835 and 2841

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 2835 and 2841

GCF of 2835 and 2841 is 3

Prime Factorization of 2835


3 2835
3 945
3 315
3 105
5 35
7 7
1

Prime factors of 2835 are 3,5,7. Prime factorization of 2835 in exponential form is:

2835 = 34×51×71

Prime Factorization of 2841


3 2841
947 947
1

Prime factors of 2841 are 3,947. Prime factorization of 2841 in exponential form is:

2841 = 31×9471

∴ So by taking common prime factors GCF of 2835 and 2841 is 3

Greatest Common Factor of 2835 and 2841 by matching factors method

Factors of 2835

List of positive integer factors of 2835 that divides 2835 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,81,105,135,189,315,405,567,945,2835

Factors of 2841

List of positive integer factors of 2841 that divides 2841 without a remainder.

1,3,947,2841

Greatest Common Factor

We found the factors and prime factorization of 2835 and 2841. The biggest common factor number is the GCF number.
So the greatest common factor 2835 and 2841 is 3.

Also check out the Least Common Multiple of 2835 and 2841

Properties of GCF 2835 and 2841

(i) The GCF of 2835 and 2841 is associative

GCF of 2835 and 2841 = GCF of 2841 and 2835

Related Greatest Common Factor of 2835

Related Greatest Common Factor of 2841

Frequently Asked Questions on GCF of 2835 and 2841

1. What is the GCF of 2835 and 2841?

Answer: GCF of 2835 and 2841 is 3.

2. What are the Factors of 2835?

Answer: Factors of 2835 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 315, 405, 567, 945, 2835. There are 20 integers that are factors of 2835. The greatest factor of 2835 is 2835.

3. What are the Factors of 2841?

Answer: Factors of 2841 are 1, 3, 947, 2841. There are 4 integers that are factors of 2841. The greatest factor of 2841 is 2841.

4. How to Find the GCF of 2835 and 2841?

Answer:

Greatest Common Factor of 2835 and 2841 = 3

Step 1: Find the prime factorization of 2835

2835 = 3 x 3 x 3 x 3 x 5 x 7

Step 2: Find the prime factorization of 2841

2841 = 3 x 947

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 2835 and 2841 is 3